Sharon has some one dollar bills and some five dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations to find how many of each kind of bill she has.

Guest Feb 20, 2021

#1**+1 **

Let x be the number of one dollar bills and y be the number of five dollar bills. We can write a system of equations:

14 bills in total ==> x + y = 14 . (1)

value of bills is $30 ==> x + 5y = 30 . (2)

Multiply equation (1) by 5.

5x + 5y = 70

x + 5y = 30

We get 4x = 40, so x = 10 and y = 4. Sharon has **10** $1 bills and **4** $5 bills.

CubeyThePenguin Feb 20, 2021